Assistant Professor, Università Cattolica del Sacro Cuore, Brescia

Email: luca.tamanini AT unicatt.it

Home-page: https://sites.google.com/view/lucatamanini

Available papers (21):

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• N. De Ponti - G. E. Sodini - L. Tamanini (Preprint)
  The infimal convolution structure of the Hellinger–Kantorovich distance (2025)
• G. Greco - L. Tamanini (preprint)
  Hessian stability and convergence rates for entropic and Sinkhorn potentials via semiconcavity (2025)
• G. Conforti - R. C. Kraaij - L. Tamanini - D. Tonon (preprint)
  Hamilton--Jacobi equations for Wasserstein controlled gradient flows: existence of viscosity solutions (2024)
• H. Lavenant - J. Luckhardt - G. Mordant - B. Schmitzer - L. Tamanini (preprint)
  The Riemannian geometry of Sinkhorn divergences (2024)
• A. Chiarini - G. Conforti - G. Greco - L. Tamanini (preprint)
  A semiconcavity approach to stability of entropic plans and exponential convergence of Sinkhorn's algorithm (2024)
• H. Lavenant - L. Monsaingeon - L. Tamanini - D. Vorotnikov (Calculus of Variations and Partial Differential Equations)
  Convex functions defined on metric spaces are pulled back to subharmonic ones by harmonic maps (2024)
• N. Gigli - L. Tamanini - D. Trevisan (Potential Analysis)
  Viscosity solutions of Hamilton-Jacobi equation in $RCD(K,\infty)$ spaces and applications to large deviations (2024)
• A. Carbonaro - L. Tamanini - D. Trevisan (preprint)
  Boundedness of Riesz transforms on $RCD(K,\infty)$ spaces (2023)
• A. Chiarini - G. Conforti - G. Greco - L. Tamanini (Comm. Part. Differ. Equat.)
  Gradient estimates for the Schrödinger potentials: convergence to the Brenier map and quantitative stability (2023)
• L. Monsaingeon - L. Tamanini - D. Vorotnikov (Adv. Math.)
  The dynamical Schrödinger problem in abstract metric spaces (2023)
• G. Carlier - P. Pegon - L. Tamanini (Calculus of Variations and Partial Differential Equations)
  Convergence rate of general entropic optimal transport costs (2023)
• L. Tamanini (IEEE Transactions on Information Theory)
  A generalization of Costa's Entropy Power Inequality (2022)
• M. Erbar - C. Rigoni - K. T. Sturm - L. Tamanini (J. Math. Pures Appl.)
  Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds (2022)
• G. Conforti - L. Tamanini (J. Funct. Anal.)
  A formula for the time derivative of the entropic cost and applications (2021)
• N. Gigli - L. Tamanini (J. Eur. Math. Soc. (JEMS))
  Second order differentiation formula on $RCD^*(K,N)$ spaces (2021)
• I. Gentil - C. Léonard - L. Ripani - L. Tamanini (Stochastic Process. Appl.)
  An entropic interpolation proof of the HWI inequality (2020)
• N. Gigli - L. Tamanini (Probab. Theory Related Fields)
  Benamou-Brenier and duality formulas for the entropic cost on $RCD^*(K,N)$ spaces (2020)
• L. Tamanini (Preprint)
  From Harnack inequality to heat kernel estimates on metric measure spaces and applications (2019)
• N. Gigli - L. Tamanini (Proceedings: Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.)
  Second order differentiation formula on $RCD(K,N)$ spaces (2018)
• N. Gigli - L. Tamanini (Submitted Paper)
  Second order differentiation formula on compact $RCD^*(K,N)$ spaces (2017)
• L. Tamanini (Phd Thesis)
  Analysis and geometry of RCD spaces via the Schrödinger problem (2017)

Speaker:

• 29 sep 2023 - 29 sep 2023: Brescia - Trento nonlinear day, 4° edition
• 12 nov 2018 - 16 nov 2018: Optimal Transport and Applications

Organizer:

• 29 sep 2023 - 29 sep 2023: Brescia - Trento nonlinear day, 4° edition